Explain why the function is discontinuous at the given number a. (Select all that apply.) x2 x2 - 4 2x if x + 2 f(x) a = 2 if x = 2 lim f(x) does not exist. f(2) is defined and lim f(x) is finite, but they are not equal. lim f(x) and lim f(x) are finite, but are not equal. x→2+ f(2) is undefined. none of the above Sketch the graph of the function.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Explain why the function is discontinuous at the given number a. (Select all that apply.)
x2
x2 - 4
2x
if x + 2
f(x)
a = 2
if x = 2
lim f(x) does not exist.
f(2) is defined and lim f(x) is finite, but they are not equal.
lim f(x) and lim f(x) are finite, but are not equal.
x→2+
f(2) is undefined.
none of the above
Sketch the graph of the function.
Transcribed Image Text:Explain why the function is discontinuous at the given number a. (Select all that apply.) x2 x2 - 4 2x if x + 2 f(x) a = 2 if x = 2 lim f(x) does not exist. f(2) is defined and lim f(x) is finite, but they are not equal. lim f(x) and lim f(x) are finite, but are not equal. x→2+ f(2) is undefined. none of the above Sketch the graph of the function.
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